404975376 has 225 divisors, whose sum is σ = 1299417669. Its totient is φ = 121709952.

The previous prime is 404975371. The next prime is 404975381. The reversal of 404975376 is 673579404.

The square root of 404975376 is 20124.

It is a perfect power (a square), and thus also a powerful number.

404975376 is a `hidden beast` number, since 40 + 497 + 53 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (404975371) and next prime (404975381).

It can be written as a sum of positive squares in only one way, i.e., 59907600 + 345067776 = 7740^2 + 18576^2 .

It is not an unprimeable number, because it can be changed into a prime (404975371) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9418011 + ... + 9418053.

Almost surely, 2^404975376 is an apocalyptic number.

404975376 is the 20124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404975376

404975376 is an abundant number, since it is smaller than the sum of its proper divisors (894442293).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404975376 is a wasteful number, since it uses less digits than its factorization.

404975376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The cubic root of 404975376 is about 739.8486274258.

The spelling of 404975376 in words is "four hundred four million, nine hundred seventy-five thousand, three hundred seventy-six".